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Finding the Fourth Proportional to 18,238, 25,168.46 and 9,854.50

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Solution

The fourth proportional to 18,238, 25,168.46 and 9,854.50 is: 13,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,238 : 25,168.46 = 9,854.50 : x
  2. Step 2: Convert to fraction form
    18,238/25,168.46 = 9,854.50/x
  3. Step 3: Cross multiply
    18,238x = 25,168.46 × 9,854.50
  4. Step 4: Simplify right side
    18,238x = 248,022,589.07
  5. Step 5: Solve for x
    x = 248,022,589.07/18,238
  6. Step 6: Final answer
    x = 13,599.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.